Patna

For a home state student, CSE closing rank - around 12k
ECE closing rank - around 21k
MECH closing rank - around 29k
Production closing rank - around 41k
Biotech closing rank - around 50k
There are more branches like IT, EEE, civil, chemical and polymer. It depends on what your rank is, you can get admission in an engineering branch if your rank is anywhere within 5055k. You can choose your branch according to your rank and field of interest.

Hello Arif,
Yes, you can appear for UGC NET in Human Resource Management instead of Management if your subjects are matched with HRM. But make sure you fulfill all the requirements of the exam. You should have minimum 55% aggregate mark in MBA and your age must not more than 30 years if you want to appear for NET JRF. For assistant professor, no age limit is applicable. If you are willing to apply for the NET exam then you have to know that the online application process has been started and ended up on 30th September 2018.

Hi Uzma,
These are the college/university in Bihar for food technology course:
Institute of Hotel Management and Catering Technology and Applied Nutrition (IHMCTAN), Patna
Institute of Hotel Management, Patna

It depends upon on your score in MBA and interview, where you will get admission.

SMUDE doesn't have any study centre now. They were all closed after the Sikkim High Court's order. You will have to study online now.

Are you talking about Amity University?
http://www.amity.edu/Bihar/amity-Patna.aspx
If it is what is in the link, then it is not fake. You will be eligible for all graduate based exams.

Possibly, yes. Contact your college's office and tell them that you want to shift college and tell a genuine and valid reason for the transfer. They may be able to transfer you in same course if the seats are available there.

No, there is no branch of this university in Patna.